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12321332113200 = 24352115317611967
BaseRepresentation
bin1011001101001100100010…
…0111111010111100110000
31121121220111211010202120020
42303103020213322330300
53103333042010110300
642112201500243440
72411121044631615
oct263231047727460
947556454122506
1012321332113200
113a204a1841520
12146bb59240580
136b4b86b95b86
143084d9cc650c
1516578d2808a0
hexb34c89faf30

12321332113200 has 240 divisors, whose sum is σ = 43869862434816. Its totient is φ = 2930631142400.

The previous prime is 12321332113187. The next prime is 12321332113219. The reversal of 12321332113200 is 231123312321.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×123213321132002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8106384 + ... + 9505583.

Almost surely, 212321332113200 is an apocalyptic number.

12321332113200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12321332113200 is an abundant number, since it is smaller than the sum of its proper divisors (31548530321616).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12321332113200 is a wasteful number, since it uses less digits than its factorization.

12321332113200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17612052 (or 17612041 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 12321332113200 its reverse (231123312321), we get a palindrome (12552455425521).

The spelling of 12321332113200 in words is "twelve trillion, three hundred twenty-one billion, three hundred thirty-two million, one hundred thirteen thousand, two hundred".